History was made Monday night when President Donald Trump and North Korean leader Kim Jong Un shook hands in the first-ever meeting between leaders of the two countries.

The long-awaited handshake came before both leaders sat down in Sentosa Island, Singapore, Tuesday morning (local time) to discuss warming relations between the U.S. and North Korea, breaking with decades of tense diplomacy and threatening rhetoric exchanged between the two nations.

While the substance of the meeting between Trump and Kim has been vague, both leaders were eager to express their hope that the summit would bring lasting peace.

“I feel really great. It’s gonna be a great discussion and I think tremendous success,” Trump said ahead of sitting down with Kim. “I think it’s gonna be really successful and I think we will have a terrific relationship I have no doubt.”

Watch Trump and Kim shake hands for the first time at the historic Singapore Summit below:

The two leaders signed a document at the conclusion of their meeting, but it’s contents were vague according to initial reports. The Associated Press claims the document lays out “security guarantees” granted by Trump in exchange for North Korea’s renewed commitment to the “complete denuclearization of the Korean Peninsula.”

Meanwhile, Kim explained that both leaders had “decided to leave the past behind” as they seek improved relations.

During a news conference after the meeting, Trump offered some details on the summit. He announced that the U.S. would halt “war games” on the Korean Peninsula, a major change in U.S. military practices in the area, which Pyongyang has bristled at in the past.

The U.S. president went on to say that he had developed “a very special bond” with the North Korean leader, saying that Kim had agreed to destroy a major missile testing site and that the Kim regime would start to denuclearize “very quickly,” though he offered few specifics past that.

As the highly-anticipated summit wraps up, both leaders seemed to be already planning for another meeting, with Trump saying he’d “absolutely” invite Kim to the White House.

But it was Kim who captured the monumental and bizarre aspect of both leaders finally meeting after months of insults and threats.

“Many people in the world will think of this as a scene from a […] science fiction movie,” Kim said via his interpreter.

But as the gushing talk between the world leaders subsides, it remains to be seen whether all the diplomacy will actually lead to concrete results and a permanent thaw in relations on the Korean Peninsula.